3 papers
math.OC2023
Recurrent Neural Network ODE Output for Classification Problems Follows the Replicator Dynamics
Julian Barreiro-Gomez, Jorge I. Poveda
This letter establishes a novel relationship between a class of recurrent neural networks and certain evolutionary dynamics that emerge in the context of population games. Specific…
math.OC2023
Averaging in a Class of Stochastic Hybrid Dynamical Systems with Time-Varying Flow Maps
J. I. Poveda
We present stability and recurrence results for a class of stochastic hybrid dynamical systems with oscillating flow maps. These results are developed by introducing averaging tool…
math.OC2023
Singularly Perturbed Stochastic Hybrid Systems: Stability and Recurrence via Composite Nonsmooth Foster Functions
Jorge I. Poveda
We introduce new sufficient conditions for verifying stability and recurrence properties in singularly perturbed stochastic hybrid dynamical systems. Specifically, we focus on hybr…